(-5+3i)-(4-5i)

Jasonbradley

2 min read

·

Jun 16, 2024

14

Share

Subtracting Complex Numbers: A Step-by-Step Guide

This article will guide you through the process of subtracting complex numbers, using the example of (-5 + 3i) - (4 - 5i).

Understanding Complex Numbers

Complex numbers are numbers that can be expressed in the form a + bi, where:

• a is the real part
• b is the imaginary part
• i is the imaginary unit, where i² = -1

Subtracting Complex Numbers

To subtract complex numbers, we follow these steps:

1. Distribute the negative sign:

   • (-5 + 3i) - (4 - 5i) becomes -5 + 3i - 4 + 5i

2. Combine the real terms:

   • (-5 - 4) + (3i + 5i)

3. Combine the imaginary terms:

   • -9 + 8i

Therefore, the result of (-5 + 3i) - (4 - 5i) is -9 + 8i.

Key Points to Remember

• When subtracting complex numbers, we subtract the real parts and the imaginary parts separately.
• The imaginary unit 'i' remains unchanged during the subtraction process.

This example demonstrates a simple subtraction of complex numbers. You can apply the same principle to more complex problems involving multiple complex numbers.